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A landscaper is designing a display of flowers for an area in a public park. The flower seeds will be planted at points that lie on a circle that has a diameter of 8 feet. the point where any seed is planted must be 2 feet away from the seeds on either side of it. what is the maximum number of flower seeds that can be planted using the design?
after planting the flower seeds the landscaper has 20 seeds left over. the landscaper wants to plant all of the remaining seeds in another circle so that the seeds are 2 feet apart. what is the diameter of the smallest circle that the landscaper can use to plant all of the remaining seeds?

A Landscaper Is Designing A Display Of Flowers For An Area In A Public Park The Flower Seeds Will Be Planted At Points That Lie On A Circle That Has A Diameter class=

Sagot :

facundo3141592

In the first circle, 12 seeds can be planted. And to plant 20 seeds, the diameter must be 12.74ft.

What is the maximum number of seeds that can be planted?

We know that the flower seeds will be planted on a circle of diameter of 8ft. The circumference of said circle will be:

C = pi*D = 3.14*8ft = 25.12ft

And each seed is 2ft apart from seeds on the other side, so the maximum number of seeds that can be planted is:

N = 25.12ft/2ft = 12.56

Which must be rounded to 12, as we can't plant a 0.56 of a seed.

Now, we need to find the diameter of a circle such that 20 seeds can be planted there.

To plant 20 seeds, the circumference needed is:

20*2ft = 40ft

Then, for a circle of diameter D, we need that:

3.14*D = 40ft

D = 40ft/3.14 = 12.74ft

The diameter of the circle must be 12.74ft

If you want to learn more about circles, you can read:

https://brainly.com/question/1559324

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